Une g\'en\'eralisation du crit\`ere de Boulier -- Buchberger pour le calcul des ensembles caract\'eristiques d'id\'eaux diff\'erentiels
Abstract
We generalize the analog of Buchberger's first criterion, stated by Boulier et al., for detecting useless S-polynomials reductions in the computation of characteristic sets of differential ideals. The original version assumes linear polynomials; this result is here extended to a product of linear differential polynomials depending of the same arbitrary differential polynomial.
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